`int_(-pi)^(pi)x/(1+cos^2x)dx`

Evaluate int _(0)^(pi)(x)/(1+ cos^(2)x)dx .

int_(0)^( pi)(dx)/(1+cos x)

Evaluate of each of the following integral: int_(-pi//2)^(pi//2)(cos^2x)/(1+e^x)dx

The value of int_(-pi)^(pi)(cos^(2)x)/(1+a^(x))dx,a gt 0 , is

int_(0)^( pi)(dx)/(1+cos^(2)x)

Evaluate the following integral: int_(-pi//2)^(pi//2)x\ cos^2x\ dx

int_(pi//6)^(pi//2) cos x dx

Evaluate: int_0^pi(xsinx)/(1+cos^2x)dx

Evaluate the following integrals (i) int_(R)^(oo)(GMm)/(x^(2))dx (ii) int_(r_(1))^(r_(2)) -k(q_1q_2)/(x^(2))dx (iii) int_(u)^(v) Mv dv (iv) int_(0)^(oo) x^(-1//2) dx (v) int_(0)^(pi//2) sinx dx (vi) int_(0)^(pi//2) cosx dx (vii) int_(-pi//2)^(pi//2) cos x dx

If I_(1)=int_(3pi)^(0) f(cos^(2)x)dx and I_(2)=int_(pi)^(0) f(cos^(2)x) then